Atkin-Lehner |
2+ 7+ 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
68614b |
Isogeny class |
Conductor |
68614 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-3620863892913358 = -1 · 2 · 7 · 139 · 293 |
Discriminant |
Eigenvalues |
2+ -2 0 7+ 0 13+ 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-10651,-2926740] |
[a1,a2,a3,a4,a6] |
Generators |
[4980:29353:27] |
Generators of the group modulo torsion |
j |
-27680640625/750156862 |
j-invariant |
L |
2.5950713123705 |
L(r)(E,1)/r! |
Ω |
0.19248466610866 |
Real period |
R |
3.3704909655254 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995564 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5278g2 |
Quadratic twists by: 13 |